Given the equation square root of quantity 2x plus 8 end quantity equals 6, solve for x and identify if it is an extraneous solution.

Solution: x = 6

Step-by-step explanation:

Given equation is:

In order to solve the equation both sides will be squared

Verifying the solution

No extraneous solution

Step-by-step explanation:

The given equation is

Taking square on both sides.

Subtract 8 from both sides.

Divide both sides by 2.

The solution of given equation is 14.

The solutions of an equation are known as extraneous solutions if they are invalid.

Substitute x=14 in the given equation.

LHS=RHS, so x=14 is a valid solution.

Therefore, the given equation have no extraneous solution.

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.

is there a graph

step-by-step explanation: